429161040 has 240 divisors, whose sum is σ = 1797134976. Its totient is φ = 89164800.

The previous prime is 429161023. The next prime is 429161081. The reversal of 429161040 is 40161924.

429161040 is a `hidden beast` number, since 4 + 2 + 9 + 1 + 610 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 429160995 and 429161013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51570 + ... + 59310.

Almost surely, 2^429161040 is an apocalyptic number.

429161040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429161040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898567488).

429161040 is an abundant number, since it is smaller than the sum of its proper divisors (1367973936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

429161040 is a wasteful number, since it uses less digits than its factorization.

429161040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7778 (or 7769 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 429161040 is about 20716.2023546788. The cubic root of 429161040 is about 754.2930329376.

It can be divided in two parts, 42916 and 1040, that added together give a triangular number (43956 = T₂₉₆).

The spelling of 429161040 in words is "four hundred twenty-nine million, one hundred sixty-one thousand, forty".